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172342243440 = 24325239364227
BaseRepresentation
bin1010000010000001100…
…1011111000001110000
3121110211211100002002100
42200200121133001300
510310424103242230
6211101204220400
715310541620143
oct2404031370160
9543754302070
10172342243440
11670a9781354
122949909a700
131333729cc53
1484acb8005a
15473a2b3660
hex282065f070

172342243440 has 60 divisors (see below), whose sum is σ = 578782703304. Its totient is φ = 45957931392.

The previous prime is 172342243439. The next prime is 172342243457. The reversal of 172342243440 is 44342243271.

172342243440 is a `hidden beast` number, since 1 + 72 + 342 + 243 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172342243395 and 172342243404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119681394 + ... + 119682833.

Almost surely, 2172342243440 is an apocalyptic number.

172342243440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172342243440 is an abundant number, since it is smaller than the sum of its proper divisors (406440459864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172342243440 is a wasteful number, since it uses less digits than its factorization.

172342243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239364246 (or 239364237 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 172342243440 in words is "one hundred seventy-two billion, three hundred forty-two million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 239364227 478728454 718092681 957456908 1196821135 1436185362 1914913816 2154278043 2393642270 2872370724 3590463405 3829827632 4308556086 4787284540 5744741448 7180926810 8617112172 9574569080 10771390215 11489482896 14361853620 17234224344 19149138160 21542780430 28723707240 34468448688 43085560860 57447414480 86171121720 172342243440